We're dividing 957003 by 83 
We're looking to find how many times 83 goes into 957003.

Let's proceed to step 1:
If we divide 9 by 83, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 83

Let's proceed to step 2:
When dividing 95 by 83, we get 1 with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 83 from 95, we get 12.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 83

On to step 3:
127 divided by 83 is 1 with a remainder of 44.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 83 away from 127, we end up with 44.
Take the next digit (0) from the dividend and append it to 44, then repeat: 440 / 83

Advancing to step 4:
440 divided by 83 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 115.0
Deduct 415 from 440 and we're left with 25.
Bring next digit (0) of the dividend behind the 25 and repeat the process: 250 / 83

Moving on to step 5:
The number 83 fits into 250 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 1153.0
If we take 249 away from 250, we end up with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 83

Advancing to step 6:
When dividing 13 by 83, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 11530.0
The remainder is 13 after subtracting 0 from 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
If we divide 130 by 83, we get 1 and a remainder of 47.
Use 1 as the next digit of our solution. 
Result so far: 11530.1
If we take 83 away from 130, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 8:
470 divided by 83 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 11530.15
The remainder is 55 after subtracting 415 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 9:
The number 83 fits into 550 6 times, leaving a remainder of 52.
The next digit of our result is 6. 
Result so far: 11530.156
Subtract 498 from 550 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 10:
520 divided by 83 is 6 with a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 11530.1566
The remainder is 22 after subtracting 498 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 11530.1566, and the remainder is 0.00022.